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Finding the Fourth Proportional to 2,498.97, 3,748.46 and 767.59

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Solution

The fourth proportional to 2,498.97, 3,748.46 and 767.59 is: 1,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.97 : 3,748.46 = 767.59 : x
  2. Step 2: Convert to fraction form
    2,498.97/3,748.46 = 767.59/x
  3. Step 3: Cross multiply
    2,498.97x = 3,748.46 × 767.59
  4. Step 4: Simplify right side
    2,498.97x = 2,877,280.41
  5. Step 5: Solve for x
    x = 2,877,280.41/2,498.97
  6. Step 6: Final answer
    x = 1,151.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.